We say that a line parallel to a vector (non-zero) is perpendicular to a plane
if
is normal to
. Given that a plane
goes through the point
and that the line through the points
and
is perpendicular to
find the Cartesian equation of
.
First, . Therefore, the Cartesian equation of
is of the form
Since is on the plane we have
. Thus, the Cartesian equation of
is